Advanced Placement (AP)
btdebratate
33

use the table below to evaluate d/dx[g[f(3x)]] at x=1 X 1 2 3 4 f(x) 6 1 2 2 f'(x) 6 1 10 2 g(x) 1 4 4 3 g'(x) 4 5 7 -4

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(1) Answers
SiobhanHoth729

This problem might seem daunting at first, but it's pretty straight forward. So first they give you an x value, 1. Substitute 1 into d/dx[g[f(3x)]]. That gets you: d/dx[g[f(3(1))]] => d/dx[g[f(3)]] Next we look at the f(3). Looking at the table we see when x=3, f(x) = 2. So we get: d/dx[g(2)] Finally we see it is asking for the derivative at g(2). So g'(2) = 5 So the answer is 5! Hopes this helps :D

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